fractional fuzzy adaptive methodology for fractional-order non-affine nonlinear systems: application to gyroscope

This study employs a fractional fuzzy adaptive methodology to design procedures for fractional-order non-affine nonlinear systems. the significant evolution of fractional-order calculus in science and engineering has made this area one of the most widespread fields, particularly in control engineering. fractional-order fuzzy adaptive controller (fac) has involved numerous scientists to improve appropriate controllers for non-affine nonlinear systems because of: 1) reconfigurable framework, the performance of the fac is superior to that of the fuzzy controllers, 2) using the experts' data, fac can apply the expert knowledge in the controller procedure rather than adaptive ones, and 3) enhancement of the controller routine instead of the integer-order one. in addition, this approach can control nominal systems in the presence of both external disturbances and uncertainties. the fractional-order adaptation laws are developed to guarantee the stability of the closed-loop system using a fractional-order lyapunov approach. unlike other research that focuses on fractional-order affine nonlinear systems, our approach specifically addresses fractional-order nonaffine nonlinear systems. finally, the performance of the proposed methodology on chaotic systems, a gyroscope, and an inverted pendulum indicates the capability of the proposed scheme.